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arXiv · 1106.1484

Group actions on labeled graphs and their C*-algebras

Teresa Bates·David Pask·Paulette Willis
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Abstract

We introduce the notion of the action of a group on a labeled graph and the quotient object, also a labeled graph. We define a skew product labeled graph and use it to prove a version of the Gross-Tucker theorem for labeled graphs. We then apply these results to the $C^*$-algebra associated to a labeled graph and provide some applications in nonabelian duality.

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Teresa Bates, David Pask, Paulette Willis. 2013-05-16. Group actions on labeled graphs and their C*-algebras. https://arxiv.org/abs/1106.1484

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